Finding the Third Proportional to 32,333 and 67,825

Step by Step Solution

1. Step 1: Write the proportion equation
   32,333 : 67,825 = 67,825 : x
2. Step 2: Convert to fraction form
   32,333/67,825 = 67,825/x
3. Step 3: Cross multiply
   32,333x = 67,825 × 67,825
4. Step 4: Simplify right side
   32,333x = 4,600,230,625
5. Step 5: Solve for x
   x = 4,600,230,625/32,333
6. Step 6: Final answer
   x = 142,276.64